Converse Relations

Fun fact: the converse of a relation $R$ on $S$ (from $S$ to $S$,) will preserve any of the properties that $R$ has, such as reflexivity, anti-reflexivity, symmetry, anti-symmetry, and transitivity, whichever of them that $R$ has.


Fun Class Activities:

  1. What is the converse relation of the relation $\text{LessThan}$ ($<$)?
  2. What is the converse relation of the relation $\text{Equals}$ ($=$)?
  3. What is the converse relation of the relation $\text{CUNYfirst-Grades}$ from slide 2? (List its elements.)